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In this research the energy density was calculated and the spin momentum density of Moon's gravitational waves in the rectilinear coordinates' system of Moon's gravity and Earth's global temperature. At first, we assumed an action principle that combines the gravitational field and gravitational waves, which formulate a closed system, together with Earth's global temperature. And, then, we calculated the energy densities of those energy field and waves, which are calculated as their variancesdoi:10.20535/srit.2308-8893.2019.3.01 fatcat:dfisk3q7wzdzdcfpqct2ga4xbu